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Finding the Fourth Proportional to 611.74, 912.17 and 600.82

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Solution

The fourth proportional to 611.74, 912.17 and 600.82 is: 895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 912.17 = 600.82 : x
  2. Step 2: Convert to fraction form
    611.74/912.17 = 600.82/x
  3. Step 3: Cross multiply
    611.74x = 912.17 × 600.82
  4. Step 4: Simplify right side
    611.74x = 548,049.98
  5. Step 5: Solve for x
    x = 548,049.98/611.74
  6. Step 6: Final answer
    x = 895.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.